Domain = Set of all real numbers, which is choice B
Range = Choice C) $y \le 3$

The domain is the set of allowed x value inputs of a function. In this case, we can plug in any x value we want. The graph stretches forever in both directions along the x axis. This is shown by the arrows.So that's why the domain is the set of all real numbers.

The range is the set of outputs of a function. It is the set of possible y values. As you can see on the graph, the highest point is at (-1,3) which is the vertex.
The largest y value possible is y = 3. Any other y value smaller than this is possible. So the range is therefore $y \le 3$ where y is a real number

7 0

3 years ago

Which of the following sets of numbers is a Pythagorean triple?

katrin2010 [14]

The awnser is would be 42,40,58

7 0

3 years ago

X:y=5:3 and x+y=56<br> what is the value off x-y

Rudiy27

$x:y=5:3\to\dfrac{x}{y}=\dfrac{5}{3}\qquad\text{cross multiply}\\\\3x=5y\qquad\text{divide both sides by 3}\\\\x=\dfrac{5}{3}y\\\\\text{substitute to the equation} \ x+y=56\\\\\dfrac{5}{3}y+y=56\\\\\dfrac{5}{3}y+\dfrac{3}{3}y=56\\\\\dfrac{5+3}{3}y=56\\\\\dfrac{8}{3}y=56\qquad\text{multiply both sides by 3}\\\\8y=3\cdot56\qquad\text{divide both sides by 8}\\\\y=3\cdot7\\\\y=21\\\\\text{substitute the value of y to the equation}\ x=\dfrac{5}{3}y\\\\x=\dfrac{5}{3}\cdot21=5\cdot7=35$

$Answer:\ \boxed{x-y=35-21=14}$

3 0

4 years ago

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